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Finding the Third Proportional to 206,828 and 331,838

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Solution

The third proportional to 206,828 and 331,838 is: 532,405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,828 : 331,838 = 331,838 : x
  2. Step 2: Convert to fraction form
    206,828/331,838 = 331,838/x
  3. Step 3: Cross multiply
    206,828x = 331,838 × 331,838
  4. Step 4: Simplify right side
    206,828x = 110,116,458,244
  5. Step 5: Solve for x
    x = 110,116,458,244/206,828
  6. Step 6: Final answer
    x = 532,405.95

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.